Sentence examples for function of a matrix from inspiring English sources

Formally, this is done using matrix-wise derivatives, which is a somewhat complex mathematical concept measuring by how much a function of a matrix will change when the matrix is changed.

The pseudo- F statistic is defined as where tr is the trace function of a matrix, H = X(X T X)−1 X T is the hat (projection) matrix of the design matrix X, G is Gower's centered matrix and n and m is the number of samples and the number of predictors, respectively.

A family of smoothed frequency responses, with varying disregard of resonant-antiresonant detail, depends on a series expansion in Tchebyshev orthogonal polynomial functions of a matrix A, namely, φ0f0(A) + φ1f1(A) + φ2f2(A) + … (in equation (1)), where A is derived from the matrices of stiffness coefficients and masses.

For (1 leq p leq2), it is well known [2] that the scalar function (1.1) of a matrix A is a submultiplicative matrix norm.

a"Confusion-driven" is used since the phone clustering is a function of a confusion matrix.

Electrospinning technique with the ability to mimic the structure and function of an extracellular matrix is a preferable method to customize the scaffold features.

As the diagonal values of Σ are ordered in descending order, Σ is a direct function of matrix A and characterizes the singular values of this matrix, ordering them from the most significant to the least significant values.

We prove an inequality related to polynomial functions of a square matrix, involving the numerical range of the matrix.

The general form of the approximation is designed to exploit the Laplace approximations to hypergeometric functions of a single matrix argument presented in Butler and Wood (Ann. Statist. 30 (2002 11555, Laplace approximations to Bessel functions of matrix argument, J. Comput.

A typical analytical model mathematically expresses the Multiple-Input Multiple-Output (MIMO) channel matrix as a function of a random Gaussian-fading matrix and various channel correlations or steering vectors, without specifying any value for these parameters.

The most common solution to this problem is to select a design which maximizes a function of the matrix which yields some kind of average information for all parameters.